105838888331 has 16 divisors (see below), whose sum is σ = 124635144960. Its totient is φ = 88860229920.

The previous prime is 105838888319. The next prime is 105838888357. The reversal of 105838888331 is 133888838501.

It is not a de Polignac number, because 105838888331 - 2¹⁴ = 105838871947 is a prime.

It is a super-2 number, since 2×105838888331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105838888361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7205345 + ... + 7220018.

It is an arithmetic number, because the mean of its divisors is an integer number (7789696560).

Almost surely, 2^105838888331 is an apocalyptic number.

105838888331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105838888331 is a deficient number, since it is larger than the sum of its proper divisors (18796256629).

105838888331 is a wasteful number, since it uses less digits than its factorization.

105838888331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14425426.

The product of its (nonzero) digits is 4423680, while the sum is 56.

The spelling of 105838888331 in words is "one hundred five billion, eight hundred thirty-eight million, eight hundred eighty-eight thousand, three hundred thirty-one".